| 可控源电磁三维频率域有限元模拟 |
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| 引用本文： | 徐志锋,吴小平.可控源电磁三维频率域有限元模拟[J].地球物理学报,2010,53(8):1931-1939. |
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| 作者姓名： | 徐志锋 吴小平 |
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| 作者单位： | 中国科学技术大学蒙城地球物理国家野外观测站,地球和空间科学学院,合肥 230026 |
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| 基金项目： | 中国科学院知识创新工程重要方向项目，国家高技术研究发展计划(863)项目，国家自然科学基金项目 |
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| 摘 要： | 本文采用电磁场的磁矢量位和电标量势,将Maxwell方程组化为位势的类似于Helmholtz型方程,并引入罚项及稳定化方法克服了电磁三维有限元算法中的伪解及数值不稳定性;采用人工边界把计算区域局域化,将均匀半空间中水平电偶极子源产生的位势值作为人工边界上的第一类边界条件以表示源的作用,减少了实际的计算区域.理论模型和复杂模型的计算结果均表明,可控源电磁三维有限元数值模拟给出了稳定、可靠的电磁场分布.
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| 关 键 词： | 可控源电磁 有限元法 三维模型 |
| 收稿时间： | 2009-01-04 |
Controlled source electromagnetic 3-D modeling in frequency domain by finite element method |
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| XU Zhi-Feng,WU Xiao-Ping.Controlled source electromagnetic 3-D modeling in frequency domain by finite element method[J].Chinese Journal of Geophysics,2010,53(8):1931-1939. |
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| Authors: | XU Zhi-Feng WU Xiao-Ping |
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| Institution: | Mengcheng National Geophysical Observatory,School of Earth and Space Science,University of Science and Technology of China,Hefei 230026,China |
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| Abstract: | Magnetic vector potential and electric scalar potential of electromagnetic field are employed in this paper and the Maxwell’s equations can be transformed into partial differential equation of the potential, which is akin to Helmholtz equation. A penalty term is added to eliminate the spurious solution and a stabilization method is used to overcome the numerical instability in 3-D electromagnetic finite element (FE) simulation. An artificial boundary delimiting a relatively small area is adopted to reduce computation consumption. The first-kind boundary condition is employed at the artificial boundary, which is the value of potential excited by a horizontal dipole source in homogeneous half space. Our results show that 3-D controlled source electromagnetic FE simulations for theoretical and complicate models in this paper give stable and trustworthy solutions of electromagnetic field. |
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| Keywords: | Controlled source electromagnetic Finite element method Three dimensional model |
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